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AysviL [449]
3 years ago
15

When is a polynomial factored completely?

Mathematics
1 answer:
Jet001 [13]3 years ago
8 0

Answer:

A polynomial is factored completely when nothing else in the expression can be factored

Example:

x^2+3x-4 completely factored looks like (x+4)(x-1)

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Answer:

  • <em>convert </em>the mixed fractions to improper fractions (where the numerator is greater than or equal to the denominator): multiply the whole number part by the fraction's denominator, add that to the numerator, write the result on top of the denominator.
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  • subtract by subtracting the numerators and writing the result over the denominator
  • convert back to mixed fractions by dividing the numerator by the denominator, write down the whole number answer, write down the remainder above the denominator.

Example

3\frac23-1\frac45

convert to improper fractions:

\dfrac{3 \times 3+2}{3}-\dfrac{1 \times 5+4}{5}=\dfrac{11}{3}-\dfrac{9}{5}

common denominator = 3 × 5 = 15, so:

\dfrac{11}{3}-\dfrac{9}{5}=\dfrac{11\times 5}{3\times 5}-\dfrac{9\times 3}{5\times 3}=\dfrac{55}{15}-\dfrac{27}{15}

subtract:

\dfrac{55}{15}-\dfrac{27}{15}=\dfrac{55-27}{15}=\dfrac{28}{15}

convert back to mixed fractions:

28 \div 15=1 \textsf{ remainder }13=1 \frac{13}{15}

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